Results 51 to 60 of about 330 (99)
Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
Nonautonomous Dynamical Systems, 2014 In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Baliki Abdessalam, Benchohra Mouffak
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On mixed boundary value problem of impulsive semilinear evolution equations of fractional order
, 2012 This article studies the existence and uniqueness of solutions for impulsive semi-linear evolution equations of fractional order α ∈ (1, 2] with mixed boundary conditions. Some standard fixed point theorems are applied to prove the main results.
Lihong Zhang +2 more
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Semilinear Volterra integrodifferential equations with nonlocal initial conditions
Abstract and Applied Analysis, Volume 4, Issue 2, Page 127-139, 1999., 1999 We establish the global existence of mild solutions to a class of nonlocal Cauchy problems associated with semilinear Volterra integrodifferential equations in a Banach space.
Sergiu Aizicovici, Mark Mckibben
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On the stability of a functional equation deriving from additive and quadratic functions
, 2012 In this article, we investigate the Hyers-Ulam stability of the following functional equation f(x+2y)+f(x-2y)=f(x+y)+f(x-y)+3f(2y)-6f(y) on quasi-β-normed spaces.2000 MR Subject Classification: 45J05; 34k30; 34K20.
Wang Liguang, Li Jing
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International Journal of Differential Equations, Volume 2024, Issue 1, 2024.This paper investigates the existence and controllability of second‐order functional differential equations with infinite delay, incorporating random operators. The existence of solutions is established using the Schauder fixed point theorem, ensuring that solutions exist under specified conditions.
Srinivasan Madhumitha +5 more
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Almost periodic mild solutions of a class of partial functional differential equations
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 425-436, 1998., 1998 We study the existence of almost periodic mild solutions of a class of partial functional differential equations via semilinear almost periodic abstract functional differential equations of the form To this end, we first associate with every almost periodic semilinear equation a nonlinear semigroup in the space of almost periodic functions.
Bernd Aulbach, Nguyen Van Minh
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Functional differential equations with nonlocal initial conditions
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 145-156, 1997., 1996 We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m‐accretive operators and related evolution equations in Banach spaces.
Sergiu Aizicovici, Yun Gao
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Nonautonomous Dynamical SystemsIn this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode +2 more
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Stability of stationary and periodic solutions equations in Banach space
International Journal of Stochastic Analysis, Volume 10, Issue 3, Page 249-255, 1997., 1997 Linear difference and differential equations with operator coefficients and random stationary (periodic) input are considered. Conditions are presented for the mean stability of stationary (periodic) solutions under small perturbation of the coefficients.
A. Ya. Dorogovtsev
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Advances in Nonlinear Analysis, 2014 In this article we study the existence of positive periodic solutions for a fourth-order nonlinear neutral differential equation with variable delay.
Ardjouni Abdelouaheb +2 more
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